Evaluate the function
f (x) = 1/2 x + 3
for f(4).
a.
5
b.
9
c.
11
d.
14

Answer:

The given parameters of the investment are;

The rate of decrease of the investment, r = -10%

The original amount of the investment, P = $75.00

Let 'A' represent the final answer (value of the investment) after the decrease in the investment, 'r', is applied, we have;

The algebraic equation that can be used to arrive at the final answer, 'A', is given as follows;

A = P + r·P

Therefore by substituting the given values, we have;

A = $75.00 + (-10/100) × $75.00 = $75.00 - 0.1 × $75.00 = $75.00 - $7.50

A = $75.00 - $7.50 = $67.50

The final amount or answer, A = $67.50

Step-by-step explanation:

Answer:

x = 4, BC = 17

Step-by-step explanation:

AC = AB + BC , substitute values

7x - 3 = 2x + 3x + 5

7x - 3 = 5x + 5 ( subtract 5x from both sides )

2x - 3 = 5 ( add 3 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Then

BC = 3x + 5 = 3(4) + 5 = 12 + 5 = 17

Answer:

5

Step-by-step explanation:

For two lines to be parallel, they must have the same slope

since the slope of the green line is 5, the the red line will have the same slope as the green line,

The slope of the red line will therefore be 5

Answer:

D. (x - 9)(x+5)

Step-by-step explanation:

[tex]x^{2} - 4x - 45[/tex] is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.

First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.

So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.

B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B

It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.

Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.

The equivalent expression to x² - 4x - 45 is (x - 9)(x + 5), which corresponds to option A.

To factor the quadratic expression x² - 4x - 45, we need to find two binomials that, when multiplied, give us the original expression.

We look for two numbers whose product is -45 (the coefficient of the constant term) and whose sum is -4 (the coefficient of the linear term, -4x). After some exploration, we find that the numbers -9 and 5 satisfy these conditions.

Thus, we can express x² - 4x - 45 as (x - 9)(x + 5). This is because when we multiply the two binomials (x - 9) and (x + 5) using the distributive property, we obtain the original quadratic expression.

This factored form, (x - 9)(x + 5), represents the equivalent expression to x² - 4x - 45.

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Answer:

His car is slowing down.

Step-by-step explanation:

During section C, the car decreased in speed (the slope is negative). This is the definition of 'slowing down', hence the answer.

Answer:

C.  His car is slowing down.

Step-by-step explanation:

The slope is going downwards, so this means that he is going slower.

Answer: 1

Anything to the 0 power is 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

As you may already know, the number (the base) to the power (the exponent) is how many times you multiply the base. For instance:

3² = 3 * 3

3³ = 3 * 3 * 3

However, anything to the zeroth power is 1.

Why?

Well, for those above examples, take 3², you can also write it as:

3² = 1 * 3 * 3

It's just 1 times how many of that number. In 3 squared, there are twos 3's, not to be confused with 3 * 2.

In 3 to the zeroth power, there are zero 3's:

3° = 1

Now it has only the one.

This is just the way I was taught to think about it, but I'm sure there's a better explanation than mine.

Answer:

C

Step-by-step explanation:

Let's say you wanted to buy a television. The television cost $200 but you only have $100, so you ask your friend for some money. Your friend says they will give you money but you have to pay them back and pay them interest. So when you go pay them, you pay them $100 dollars along with the amount of money your friend wants you to pay them for borrowing their money. In the end you could end up giving them 120 instead of 100.

C. The charge for the privilege of borrowing money

Hope this helps you and you past your test good luck too you.

9514 1404 393

Answer:

  15 minutes

Step-by-step explanation:

We can let t represent the time in hours that Kara ran today. Then her distance today is ...

  distance = speed · time

  distance = 6t

Her total distance for both days is ...

  5 + 6t = 6.5

  6t = 1.5 . . . . . . . . . . subtract 5

  t = 1.5/6 = 1/4 . . . . . divide by 6

Kara ran 1/4 hour today. That is 15 minutes.

Answer:

UNDEFINED

Step-by-step explanation:

I CACULATED IT ON A ADVANCED CACUALTOR  ANY IT DOSENT SAY ANYHITNG LOL

Answer:

1.8

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

x  ≈  1.78522264

x ≈ 1.8

Answer:

x = -15/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-7 - 3x = 1x + 4(2 + x)

Step 2: Solve for x

Answer:

1. x = 3

2. x = 6

3. not sure

Step-by-step explanation:

5x +2 (x+7) =14x -7

First expand the expandables

5x +2x +14 =14x-7

7x +14 =14x -7

14x -7x =14+7

7x=21 . Divide both sides by 7

x=3.

Step-by-step explanation:

1. 5x +2x + 2*7 =14x-7

7x + 14 = 14x - 7

14 +7 = 14x - 7x

21 = 7x

21/7 =x

4 =x

Answer:

4x + 3 = 15

4x=15-3

x=12/4

x=3

Answer:

Step-by-step explanation:

Use properties

10.

11.

12.

Answer:

shuqhsuwbe

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

f(x)=2x-1

f(5)=2(5)-1=10-1=9

Answer:

the answer is D

Step-by-step explanation:

The common difference of the arithmetic sequence 1, 9/10, 4/5, 7/10 is -1/10.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The given arithmetic sequence is,

1, 9/10, 4/5, 7/10

The first term of the sequence a = 1

The common difference of the arithmetic sequence is the difference between two consecutive terms.

d = 9/10 - 1

d = - 1/10

The common difference of the given arithmetic sequence is - 1/10.

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Answer:

27

Step-by-step explanation:

It is an equilateral triangle, so all sides are 9 ft. 9*3=27.

Step-by-step explanation:

Statements

1.RS tangent to circle A and circle B at point R and point S

2.AR is perpendicular to RS, BS is perpendicular to RS

3.AR is parallel to BS

Reasons

1.Given

2.Radius are perpendicular to tangent

3. 2 lines perpendicular to the same line are parallel to each other

Answer:

x = 7

Step-by-step explanation:

The parameters of the triangle having bisected angle are;

The length of the opposite and adjacent side of one of the halves of the bisected angle = 6 and 14 respectively

The length of the opposite and adjacent side of the other half of the bisected angle = (3·x - 12) and 21 respectively

By the angle bisector theorem, we have;

[tex]\dfrac{14}{6} = \dfrac{21}{3\cdot x - 12}[/tex]

Simplifying, we get;

[tex]\dfrac{14}{6} = \dfrac{2 \times 7}{2 \times 3} = \dfrac{7}{3}[/tex]

[tex]\dfrac{21}{3\cdot x - 12} = \dfrac{3 \times 7}{3 \times (x - 4)} = \dfrac{7}{x - 4}[/tex]

[tex]\dfrac{7}{3} = \dfrac{7}{ x - 4}[/tex]

7 × (x - 4) = 3 × 7

∴ x - 4 = 3

x = 3 + 4 = 7

x = 7.

Answer:

If Carter bikes 1/4 mile in 5/6 minutes, he bikes 1/4 mile in 50 seconds. (5/6 of a minute is equal to 50 seconds)

At this rate, if Carter bikes 1/4 mile in 50 seconds, he will be able to bike 2/4 of a mile in 100 seconds, 3/4 of a mile in 150 seconds, and a whole mile (4/4) in 200 seconds.

Converting 200 seconds to minutes, we have that it takes Carter 3 1/3 minutes to bike 1 mile.

Let me know if this helps!

Answer: Option B

Step-by-step explanation:

Answer:

C, 27 degrees

Step-by-step explanation:

complementary is 2 angles that their measures add to 90 degrees;

90-63=27

27 degrees

uwu

Answer:

$1,078.68

Step-by-step explanation:

Here, we want to calculate the balance

That would be adding interest plus deposit plus balance minus withdrawals

That would be;

618.21 + 466.26 + 4.31 - 10.10 = $1,078.68

Answer:

12 weekly payments

Step-by-step explanation:

Here, we want to get the number of weeks in which he made payment for the ring

We start by subtracting the deposit,

That would be;

225-75 = 150

Now, we proceed to divide what ie left by the weekly payment to get the number of weeks

That would be;

150/12.5 = 12

Answer:

12 weekly payments

Step-by-step explanation:

Here, we want to get the number of weeks in which he made payment for the ring

We start by subtracting the deposit,

That would be;

225-75 = 150

Now, we proceed to divide what ie left by the weekly payment to get the number of weeks

That would be;

150/12.5 = 12

Step-by-step explanation:

Answer:

6 dozens

Step-by-step explanation:

Vanilla, v = x

Chocolate, c = 3x

Strawberry, s = 3 dozens = 36

Total cupcakes = 132

Hence,

x + 3x + 36 = 132

4x = 96

x = 96 / 4

x = 24

Chocolate = 3 * 24 = 72

Dozens of chocolate = 72 /12 = 6 dozens

Answer:

x≤-86

Step-by-step explanation:

Answer:

y = 5x - 2

Step-by-step explanation:

The equation at the bottom is already in slope-intercept form, or y = mx + b format. It lacks one missing piece: b, or the y-intercept. However, the slope of the equation must be 5, because the number in place of the m equals the slope.

So, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex], and substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values. From there, we can isolate y to receive the full equation in slope-intercept form.

Since m represents the slope, substitute 5 in its place. Since the [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, choose any of the points provided and substitute its values into the formula. (Either one is fine, and I chose (1,3).) From there, isolate y to find the slope-intercept form and answer:

[tex]y-(3) = 5 (x-(1))\\y - 3 = 5(x-1)\\y - 3 = 5x -5\\y = 5x - 2[/tex]